Microeconomic Theory
12th Edition
ISBN: 9781337517942
Author: NICHOLSON
Publisher: Cengage
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Question
Chapter 16, Problem 16.5P
a)
To determine
To find:
Number of workers to be hired and and wage rate.
b)
To determine
To know:
Number of workers and
c)
To determine
To plot:
Graphical representation of results.
d)
To determine
To find:
Comparison of minimum wage in monopsony and
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Students have asked these similar questions
Suppose that the Ebay warehouse behaves as a monopsonist in the local labor market.
Assume that its labor supply curve is w(LS) = 4LS and its labor demand curve is w(LD ) = 42.8−2LD.
To maximize its profits:
a. how many units of labor will Ebay hire and
b. what wage will Ebay pay?
Now suppose that the local labor union goes on strike and Ebay is eventually forced to increase the pay of its workers to a competitive wage. What wage would Ebay then have to pay?
c. Find competitive wage
The correct answers are:
a. 4.28
b. 17.12
c. 28.52
Assume a monopsony uses only one factor, i.e. labor, L, to produce a final good, Q, which is sold
in a competitive market at the price p = 1 to maximise profits. The production function of the
monopsonist is given by Q (L) = 100L - 1L². The inverse supply curve for labor is w(L) =
2
20 + 2 L.
a. Derive and describe the monopsony's inverse demand curve for labor.
b. Describe algebraically and graphically how many units of labor the monopsony hires and
at what wage. Describe the nature of monopsony power and provide economic intuition.
B. Consider a firm who sells output at p=10 and has a short run production function Q(L)=20L-L2. Its wage rate function is w=40+2.5L.
Suppose the firm is a monopsonist, how much labor will it hire to maximize profits?
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Similar questions
- Table 14.13 shows information from the supply curve for labor for a monopsonist, that is, the wage rate required at each level of employment. What is the monopsonists marginal cost of labor at each level of employment? If each unit of labors marginal revenue product is 13, what is the firms profit maximizing level of employment and wage?arrow_forward3. A monopsonist's inverse demand for labor can be written as D-1(w) = VMP(E) 0.005ED. Labor is supplied to the firm according to the inverse supply function S-(w) s(E) = w = 5+0.01E,. = 40 – (a) Assume that it is a short-run problem and state the monopsonist's PMAX problem mathematically. (b) Define the monopsonist's cost and find the marginal cost. (c) How much labor does the monopsony firm hire? At what wage rate does it hire workers? (d) How much labor would the monopsonist approximately hire if it hired as if a perfectly competitive firm does? At what wage rate would it hire workers approximately? (e) Draw a graph. (f) Approximately calculate producer surplus (PS), worker surplus (WS), and dead weight loss (DWS) for (Emono: Wimono) and (E*, w*). State the implication of this exercise. (g) How much labor does the monopsony firm hire and at what wage when it must pay when it must pay a minimum wage of $25? State the implication of this exercise.arrow_forwardImagine there is a firm that only uses labor to produce goods and that its production function is given by Y(L)=5L-L^2. The price of the firm’s output is equal to 1. Let’s assume the firm is a price taker on the product market but is a local monopsony for employment. Imagine that its marginal cost is given by 2+L. Imagine that labor supply is given by 1+L How much labor does the firm want to use? What will be the wage it pays? How many people will work if the government imposes a minimal wage of 2.25? How will this affect the firm’s profit? Calculate and compare before and after the introduction of the minimum wage.arrow_forward
- Consider a firm that sells output at P = 5 and has a short-run production function:Q(L) = 20L − L^2. Its wage rate function is w = 40 + 2L. - Suppose the firm is a monopsonist, how much labor will it hire to maximize profits?How much wage will it pay?- Solve for the rate of monopsonistic exploitation.- If instead, the firm is operating in a perfectly competitive market, how much laborwill it hire to maximize profits? How much wage will it pay?arrow_forwardA monopsonist’s products are sold in a perfect competitive market at a price of $6. If the firm’s TFC=5L+2L2 and in the short run, its marginal product equals 10. How many units of labor will she employ and what wage will she pay? Assume now the monopsonist firm’s product is in a monopoly market with demand function P=80-2Q. How many units of labor will she employ and what wage will she payarrow_forwardThe inverse labour demand curve of a monopsonist employer is W = 38,500 – 112L, where W is the annual salary and L is the number of workers hired. The labor supply is given by W = 10,700 + 100L. (a) The marginal expenditure equation is ME= . Do not include a comma in your answer. Please use capital letters (e.g. L not l) (b) To the nearest integer, the monopsonist would hire workers and, given that number of workers, the salary they would pay is, rounded to 2 decimal places (e.g. 4.12) . Do not include a comma in your answer.arrow_forward
- Assume a monopsony uses only one factor, i.e. labor, L, to produce a final good, Q, which is sold in a competitive market at the price p = 1 to maximise profits. The production function of the monopsonist is given by Q (L) = 100L — L². The inverse supply curve for labor is w(L) = 2 20 + 2 L. c. Describe algebraically and graphically what the welfare effects would be of the introduction of a minimum wage set at the competitive level. Would it improve welfare if the minimum wage were set above the competitive wage? Support your answer with a graph and economic intuition.arrow_forwardThe inverse labour demand curve of a monopsonist employer is W = 41,500 – 101L, where W is the annual salary and L is the number of workers hired. The labor supply is given by W = 9,800 + 109L. (a) The marginal expenditure equation is ME=__________ (b) To the nearest integer, the monopsonist would hire ______ workers and, given that number of workers, the salary they would pay is, rounded to 2 decimal places (e.g. 4.12) ____arrow_forwardConsider a monopsonist that hires 4.28 units of labor at a wage of 19.26. If the marginal value placed on the last worker hired is 41.22 a.) what is the elasticity of labor supply for this monopsonist?arrow_forward
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